Information on Result #618056
Linear OA(3229, 1048576, F32, 8) (dual of [1048576, 1048547, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3233, 1048609, F32, 8) (dual of [1048609, 1048576, 9]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3234, 1048620, F32, 8) (dual of [1048620, 1048586, 9]-code) | [i] | ||
| 3 | Linear OA(3235, 1049568, F32, 8) (dual of [1049568, 1049533, 9]-code) | [i] | ||
| 4 | Linear OOA(3229, 1020687, F32, 2, 8) (dual of [(1020687, 2), 2041345, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Digital (21, 29, 1020687)-net over F32 | [i] | ||
| 6 | Linear OA(3234, 1048582, F32, 8) (dual of [1048582, 1048548, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(3235, 1048642, F32, 8) (dual of [1048642, 1048607, 9]-code) | [i] | ||
| 8 | Linear OA(3233, 1048580, F32, 9) (dual of [1048580, 1048547, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(3229, 1048580, F32, 8) (dual of [1048580, 1048551, 9]-code) | [i] | ✔ | |
| 10 | Linear OA(3238, 1048585, F32, 10) (dual of [1048585, 1048547, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(3230, 1048585, F32, 8) (dual of [1048585, 1048555, 9]-code) | [i] | ✔ | |
| 12 | Linear OA(3243, 1048590, F32, 11) (dual of [1048590, 1048547, 12]-code) | [i] | ✔ | |
| 13 | Linear OA(3231, 1048590, F32, 8) (dual of [1048590, 1048559, 9]-code) | [i] | ✔ | |
| 14 | Linear OA(3248, 1048595, F32, 12) (dual of [1048595, 1048547, 13]-code) | [i] | ✔ | |
| 15 | Linear OA(3232, 1048595, F32, 8) (dual of [1048595, 1048563, 9]-code) | [i] | ✔ | |
| 16 | Linear OA(3253, 1048600, F32, 13) (dual of [1048600, 1048547, 14]-code) | [i] | ✔ | |
| 17 | Linear OA(3258, 1048605, F32, 14) (dual of [1048605, 1048547, 15]-code) | [i] | ✔ | |
| 18 | Linear OA(3263, 1048609, F32, 15) (dual of [1048609, 1048546, 16]-code) | [i] | ✔ | |
| 19 | Linear OA(3264, 1048611, F32, 15) (dual of [1048611, 1048547, 16]-code) | [i] | ✔ | |
| 20 | Linear OA(3269, 1048616, F32, 16) (dual of [1048616, 1048547, 17]-code) | [i] | ✔ | |
| 21 | Linear OA(3230, 1048586, F32, 8) (dual of [1048586, 1048556, 9]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |